Semester Review Fall 2024

Front

A tree casts a 15 foot shadow. A man is 6 feet tall and casts a 12 foot shadow. How tall is the tree?

Back

7.5 feet

Front

Determine if the two triangles are congruent. If they are, state how you know.

Back

SAS (Side-Angle-Side) congruence criterion.

Front

Identify the transformation from ABC to A'B'C'.

Back

(x+8, y+4) indicates a translation 8 units right and 4 units up.

Front

Solve for x: 2x + 4 = 10.

Back

x = 3

Front

Solve for x: 3x - 9 = 0.

Back

x = 3

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

Define congruent triangles.

Back

Triangles that are identical in shape and size.

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side: two sides and the included angle are equal.

Front

What is a transformation in geometry?

Back

A change in position, size, or shape of a figure.